Abstract

In this paper, a new block interface domain decomposition method (BI-DDM) with non-overlapping subdomains for the numerical solution of a two-dimensional convection–diffusion equation is presented. The block interface formulation is derived from the idea of using small groups of a certain number of mesh points where this group is treated explicitly similar to the way a single point is treated in the point method. The BI-DDM is incorporated with a correction phase which is able to economize further on the computing cost. The performance analysis of this method on several recently developed group iterative schemes implemented on a message-passing architecture are presented and discussed.

Item Type:

Article

Additional Information:

[1] First published online: 12 Jun 2012. [2] The authors acknowledge the USM School of Mathematical Sciences KPI Incentive Grant and the Fundamental Research Grant Scheme (203/PMATHS/6711188) for the completion of this article.